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Finding the Fourth Proportional to 305,810.58, 421,955.65 and 176,702.86

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Solution

The fourth proportional to 305,810.58, 421,955.65 and 176,702.86 is: 243,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,810.58 : 421,955.65 = 176,702.86 : x
  2. Step 2: Convert to fraction form
    305,810.58/421,955.65 = 176,702.86/x
  3. Step 3: Cross multiply
    305,810.58x = 421,955.65 × 176,702.86
  4. Step 4: Simplify right side
    305,810.58x = 74,560,768,651.51
  5. Step 5: Solve for x
    x = 74,560,768,651.51/305,810.58
  6. Step 6: Final answer
    x = 243,813.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.